한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제28권3호
  • /
  • Pages.247-252
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  • 2021
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  • 1226-0657(pISSN)
  • /
  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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REAL HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM WITH SPECIAL STRUCTURE TENSOR FIELD

  • Lim, Dong Ho (Department of Mathematics Education, Sehan University) ;
  • Kim, Hoonjoo (Department of Mathematics Education, Sehan University)
  • 투고 : 2021.04.07
  • 심사 : 2021.08.12
  • 발행 : 2021.08.31
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초록

Let M be a real hypersurface in a complex space form Mn(c), c ≠ 0. In this paper, we prove that if (∇Xϕ)Y + (∇Yϕ)X = 0 holds on M, then M is a Hopf hypersurface, where ϕ is the tangential projection of the complex structure of Mn(c). We characterize such Hopf hypersurfaces of Mn(c).

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과제정보

This paper was supported by the Sehan University Research Fund in 2021.

참고문헌

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